Solve for x
x<-1
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6x+9>15x+18
Multiply both sides of the equation by 3. Since 3 is positive, the inequality direction remains the same.
6x+9-15x>18
Subtract 15x from both sides.
-9x+9>18
Combine 6x and -15x to get -9x.
-9x>18-9
Subtract 9 from both sides.
-9x>9
Subtract 9 from 18 to get 9.
x<\frac{9}{-9}
Divide both sides by -9. Since -9 is negative, the inequality direction is changed.
x<-1
Divide 9 by -9 to get -1.
Examples
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y = 3x + 4
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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